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5.10: Chapter 5 Test

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  1. Write y=\frac{-3}{2} x+4 in standard form.
  2. Write an equation in slope-intercept form for a line perpendicular to y=\frac{1}{3} x+6 containing (1, 2).
  3. Write an equation in point-slope form for a line containing (5, 3) and (–6, 0.5).
  4. What is the speed of a car travelling 80 miles/hour in feet/second?
  5. How many kilometers are in a marathon (26.2 miles)?
  6. Lucas bought a 5-gallon container of paint. He plans to use \frac{2}{3} gallon per room.
    1. Write an expression to represent this situation.
    2. How many rooms can Lucas paint before the container is empty?
  1. Are these two lines parallel, perpendicular, or neither? Explain your answer by showing your work: y=3x-1 and -x+3y=6.
  2. The table below gives the gross public debt of the U.S. Treasury for the years 2004–2007. &\text{Year} && 2004 && 2005 && 2006 && 2007\\&\text{Debt (in billions \$)} && 7,596.1 && 8,170.4 && 8,680.2 && 9,229.2
    1. Make a scatter plot of the data.
    2. Use the method of extrapolation to determine the gross public debt for 2009.
    3. Find a linear regression line using a graphing calculator.
    4. Use the equation found in (c) to determine the gross public debt for 2009.
    5. Which answer seems more accurate, the linear model or the extrapolation?
  1. What is the process used to interpolate data?
  2. Use the table below to answer the following questions. &\text{Hours (h)} && 0 && 1 && 2 && 3 && 4\\&\text{Percentage of mineral remaining} && 100 && 50 && 25 && 12.5 && 6.25
    1. Draw a scatter plot to represent the data.
    2. Would a linear regression line be the best way to represent the data?
    3. Use the method of interpolation to find the percentage of mineral remaining when h=2.75.

Texas Instruments Resources

In the CK-12 Texas Instruments Algebra I FlexBook® resource, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9615.

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